Algebra Tutor: None Selected Time limit: 1 Day

f(x)= -2x^2 - 4x - 1

1.) Does the function have a minimum or maximum value?

2.) Where does the minimum or maximum value occur?

3.) What is the functions minimum or maximum value?

Oct 8th, 2015

1.

The minimum/maximum point is the point whereby the slope of the equation is zero. To get the slope of the equation, we differentiate the equation.

therefore, derivative = f'(x) =-4x-4

differentiating the derivative again gives f''(x) =-4

Therefore the functin has a maximum value since the second derivative is negative.

2.

From the first derivative the value of f'(x) = 0: At maximum or minimum point the gradient/slope of the curve is always zero.

therefore 0=-4x-4

4x=4

x=1

The maximum value is at the point where x=1

substituting into the original function gives f(x) =-2(1)^2-4x-1 = -7

hence (1, -7)

3. The function's maximum value is -7 as calculated above.

Oct 8th, 2015

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Oct 8th, 2015
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Oct 8th, 2015
Dec 4th, 2016
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